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54231616512 = 2103243136849
BaseRepresentation
bin110010100000011101…
…001100110000000000
312011222111100120012100
4302200131030300000
51342031243212022
640525203430400
73626624064063
oct624035146000
9164874316170
1054231616512
1120aaa374187
12a616085400
135163668418
1428a67368da
15162611c1ac
hexca074cc00

54231616512 has 132 divisors (see below), whose sum is σ = 160235475400. Its totient is φ = 17656676352.

The previous prime is 54231616501. The next prime is 54231616531. The reversal of 54231616512 is 21561613245.

54231616512 is a `hidden beast` number, since 5 + 4 + 2 + 31 + 616 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×542316165122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327864 + ... + 464712.

Almost surely, 254231616512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54231616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80117737700).

54231616512 is an abundant number, since it is smaller than the sum of its proper divisors (106003858888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54231616512 is a wasteful number, since it uses less digits than its factorization.

54231616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136918 (or 136897 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 54231616512 in words is "fifty-four billion, two hundred thirty-one million, six hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 6192 8256 9216 11008 12384 16512 22016 24768 33024 44032 49536 66048 99072 132096 136849 198144 273698 396288 410547 547396 821094 1094792 1231641 1642188 2189584 2463282 3284376 4379168 4926564 5884507 6568752 8758336 9853128 11769014 13137504 17516672 17653521 19706256 23538028 26275008 35033344 35307042 39412512 47076056 52550016 52960563 70066688 70614084 78825024 94152112 105100032 105921126 140133376 141228168 157650048 188304224 210200064 211842252 282456336 315300096 376608448 420400128 423684504 564912672 630600192 753216896 847369008 1129825344 1261200384 1506433792 1694738016 2259650688 3012867584 3389476032 4519301376 6025735168 6778952064 9038602752 13557904128 18077205504 27115808256 54231616512